Formulações não-singulares do método dos elementos de contorno aplicadas a problemas bidimensionais de potencial

AUTOR(ES)

Juliana Passagli da Cruz

DATA DE PUBLICAÇÃO

2001

RESUMO

In this work three non-singular formulations applied to two-dimensional potential problems are presented and implemented. In these formulations quadratic, cubic and quartic isoparametric boundary elements were used. The first formulation is based on the standard BEM with the collocation point outside the domain, associated with a sub-element technique. The second one is the self-regularized potential-BIE that remains with a weakly singular integral, that can be evaluated by means of a logarithmic quadrature or a standard gaussian quadrature together with a particular transformation proposed by Telles. The third formulation is the self-regularized flux-BIE which is fully regular but requires the C1, _ continuity of the density functions. This requirement is not satisfied by the isoparametric boundary elements, but it is remedied by adopting the relaxed continuity strategy. Three heat problems and one ground water flow problem have been analyzed and the results were compared with exact solutions or with the results obtained by means of the standard CPV-formulation. The standard formulation with the collocation points outside the domain have presented highly accurate results for all problems analyzed. The same can be seen when using the BEM-potential, that is fully equivalent to the standard CPV-formulation. The flux-BIE required quartic elements to show the same level of accuracy obtained when the BEM-potential with quadratic elements were used. In this way the non-singular BIE formulations used in this work may be considered as robust alternatives to strongly singular BIE formulations for 2-D potential problems.

ASSUNTO(S)

engenharia de estruturas teses.

Documentos Relacionados

• Algoritmos não-singulares do método dos elementos de contorno para problemas bidimensionais de elasticidade
• Formulação com dupla reciprocidade hipersingular do método dos elementos de contorno para problemas de potencial escalar bidimensionais
• Ricochetes não-singulares em teorias de gravidade modificadas
• Solução numérica de problemas darcianos convectivos não-lineares através do método dos elementos de contorno
• Solução de problemas poroelasticos atraves do metodo dos elementos de contorno